The student population at University X consists of 63% undergraduate students and 37% graduate students. If 23% of undergraduate students and 42% of graduate students wear contacts, what percent of all students wear contacts? Choose 1 answer: (A) 14.5% (B) 15.5% (C) 30.0% (D) 75.0%

Question

The student population at University  X consists of  63% undergraduate students and  37% graduate students. If  23% of undergraduate students and  42% of graduate students wear contacts, what percent of all students wear contacts? Choose 1 answer: (A)  14.5% (B)  15.5% (C)  30.0% (D)  75.0%

Bytelearn · Accepted Answer

Calculate Undergraduate Contacts Percent: Calculate the percent of undergraduate students who wear contacts. We know that 63% of the students are undergraduates and 23% of these undergraduates wear contacts. To find the percent of all students who are undergraduates wearing contacts, we multiply these two percentages. 63% * 23% = (63/100) * (23/100) = 0.63 * 0.23Multiply Undergraduate Percentages: Perform the multiplication to find the percent of undergraduate students who wear contacts. 0.63 * 0.23 = 0.1449 To express this as a percentage, we multiply by 100. 0.1449 * 100 = 14.49%Calculate Graduate Contacts Percent: Calculate the percent of graduate students who wear contacts. We know that 37% of the students are graduates and 42% of these graduates wear contacts. To find the percent of all students who are graduates wearing contacts, we multiply these two percentages. 37% * 42% = (37/100) * (42/100) = 0.37 * 0.42Multiply Graduate Percentages: Perform the multiplication to find the percent of graduate students who wear contacts. 0.37 * 0.42 = 0.1554 To express this as a percentage, we multiply by 100. 0.1554 * 100 = 15.54%Add Contacts Percentages: Add the percentages of undergraduate and graduate students who wear contacts to find the total percent of all students who wear contacts. 14.49% (undergraduates who wear contacts) + 15.54% (graduates who wear contacts) = 30.03%Round Total Percent: Round the total percent to a whole number if necessary. Since the options are given in whole numbers or with one decimal place, we round 30.03% to the nearest tenth. 30.03% ≈ 30.0%

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